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Finding the Fourth Proportional to 198,937.16, 298,408.91 and 110,751.20

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Solution

The fourth proportional to 198,937.16, 298,408.91 and 110,751.20 is: 166,128.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,937.16 : 298,408.91 = 110,751.20 : x
  2. Step 2: Convert to fraction form
    198,937.16/298,408.91 = 110,751.20/x
  3. Step 3: Cross multiply
    198,937.16x = 298,408.91 × 110,751.20
  4. Step 4: Simplify right side
    198,937.16x = 33,049,142,827.39
  5. Step 5: Solve for x
    x = 33,049,142,827.39/198,937.16
  6. Step 6: Final answer
    x = 166,128.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.